Saturday, February 06, 2016

Mathematical Economics and the mind of an Insider Trader...

In the University of Vaasa the department of Mathematics and Statistics does - according to the latest evaluation report of the university - very high level research. The three fields of the department are Mathematics, Mathematics in Economics and Statistics.
PhD student of the department Adil Yazigi had his public defence last fall about Gaussian processes, their representations and regularity.

Yazigi studied the regularity of the sample paths of Gaussian processes and gave a necessary and sufficient condition for Hölder continuity. He also introduce the canonical Volterra representation for self-similar Gaussian processes based on the Lamperti transformation and on the canonical Volterra representation of stationary Gaussian processes.

This probably doesn't say much to those who haven't studied Mathematics at the university level (like me). But....

there is an interesting application to Finance. Yazigi uses the generalized Gaussian bridge model to analyse and to solve the insider trading problem.

– Given a financial market where an insider trader knows at the beginning of the time the final value of a specific asset, the Gaussian bridge model can explain how the price of this asset moves from the randomness to the certainty in the insider agent's point of view, says Adil Yazigi in the University's press release..

Sunday, October 25, 2015

Battery Charging Problems with Wind Turbines

You know the vertical axis wind turbines? I mean not the traditional blade based turbines but those with vertical axis which don't make sound or cause vibration.

A company called Windside makes them in Finland.

PhD Bertil Brännbacka from the University of Vaasa wrote his dissertation about these Windside wind turbines. He had his public defence in August 2015.

 In his thesis called "Technical improvements of Windside wind turbine systems" Brännbacka aimed to find methods of improving the charging of batteries at low and high wind speeds by developing auxiliary devices using original components.

He tested Windside wind turbines in real wind conditions and he developed two new techniques: an automatic reversible star-delta switch and a hollow shaft.

According to Brännbacka's thesis the new automatic reversible star-delta increased the annual energy yield of the small turbines by nine percent.

More information in the press release of the dissertation. You can download the pdf file of Brännbacka's dissertation here.